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PT对称的非厄米势对一维线性谐振子能谱的影响

江翠 张莲莲

高师理科学刊2023,Vol.43Issue(12):102-106,5.
高师理科学刊2023,Vol.43Issue(12):102-106,5.DOI:10.3969/j.issn.1007-9831.2023.12.018

PT对称的非厄米势对一维线性谐振子能谱的影响

Influence of energy spectra of one-dimensional linear harmonic oscillator in a non-hermitian potential with PT-symmetry

江翠 1张莲莲2

作者信息

  • 1. 沈阳工程学院 基础教学部,辽宁 沈阳 110136
  • 2. 东北大学 理学院,辽宁 沈阳 110819
  • 折叠

摘要

Abstract

In recent years,PT-symmetric non-hermitian systems have received widespread attention from researchers in various fields due to their unique physical properties.In the teaching of quantum mechanics,it is necessary to properly introduce relevant research progress in addition to elucidating the basic concepts and physical images of quantum mechanics.It was studied of the impacts of the PT-symmetric potentialsλ(ix)kon the energy spectra of one-dimensional linear harmonic oscillator systems.By solving the energy spectra with the help of perturbation theory,and it is find that this potential plays special roles changing the energy spectra.Namely,the value of the energy correction fluctuates around its original value following the change ofk,as a result,the energy level overlap can be observed whenλis high enough.It can be believed that these results are helpful in understanding the basis and the frontier knowledge of quantum mechanics.

关键词

PT对称/能谱/一维线性谐振子

Key words

PT-symmetry/energy spectrum/one-dimensional linear harmonic oscillator

分类

数理科学

引用本文复制引用

江翠,张莲莲..PT对称的非厄米势对一维线性谐振子能谱的影响[J].高师理科学刊,2023,43(12):102-106,5.

高师理科学刊

1007-9831

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